Perform rational expression operations

What you'll learn

1. Multiply and divide rational expressions by multiplying numerators and denominators (or multiplying by the reciprocal), simplifying by canceling common polynomial factors
2. Add and subtract rational expressions with the same denominator by combining numerators
3. Add and subtract rational expressions with different denominators by finding the least common denominator (LCD) and building equivalent fractions
4. State and apply domain restrictions: identify x-values that make any denominator zero and must be excluded
5. Explain the analogy between rational number arithmetic and rational expression arithmetic, using this to justify each operation

Prerequisites

• Rewrite rational expressions